$$ \begin{aligned} 2(a+5) &= -2(2a+3)&& \text{simplify left and right hand side} \\[1 em]2a+10 &= -(4a+6)&& \\[1 em]2a+10 &= -4a-6&& \text{move the $ \color{blue}{ -4a } $ to the left side and $ \color{blue}{ 10 }$ to the right} \\[1 em]2a+4a &= -6-10&& \text{simplify left and right hand side} \\[1 em]6a &= -16&& \text{ divide both sides by $ 6 $ } \\[1 em]a &= -\frac{16}{6}&& \\[1 em]a &= -\frac{8}{3}&& \\[1 em] \end{aligned} $$

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